Publications
175 results found
Donos A, Gauntlett JP, Griffin T, et al., 2017, DC conductivity and higher derivative gravity, Classical and Quantum Gravity, Vol: 34, ISSN: 0264-9381
For Gauss–Bonnet gravity and in the context of holography we show how the thermal DC conductivity can be obtained by solving a generalised system of Stokes equations for an auxiliary fluid on a curved black hole horizon. For more general higher derivative theories of gravity coupled to gauge-fields, we also analyse the linearised thermal and electric currents that are produced by DC thermal and electric sources. We show how suitably defined DC transport current fluxes of the dual field theory are given by current fluxes defined at the black horizon.
Banks E, Donos A, Gauntlett JP, et al., 2017, Thermal backflow in CFTs, Physical Review D, Vol: 95, ISSN: 1550-7998
We study the thermal transport properties of general conformal field theories (CFTs) on curved spacetimes in the leading order viscous hydrodynamic limit. At the level of linear response, we show that the thermal transport is governed by a system of forced linearized Navier-Stokes equations on a curved space. Our setup includes CFTs in flat spacetime that have been deformed by spatially dependent and periodic local temperature variations or strains that have been applied to the CFT, and hence is relevant to CFTs arising in condensed matter systems at zero charge density. We provide specific examples of deformations which lead to thermal backflow driven by a dc source: that is, the thermal currents locally flow in the opposite direction to the applied dc thermal source. We also consider thermal transport for relativistic quantum field theories that are not conformally invariant.
Banks E, Donos A, Gauntlett JP, et al., 2017, Thermal backflow in CFTs, PHYSICAL REVIEW D, Vol: 95, ISSN: 2470-0010
Banks E, Donos A, Gauntlett JP, et al., 2017, Holographic thermal DC response in the hydrodynamic limit, Classical and Quantum Gravity, Vol: 34, ISSN: 1361-6382
We consider black hole solutions of Einstein gravity that describe deformations of CFTs at finite temperature in which spatial translations have been broken explicitly. We focus on deformations that are periodic in the non-compact spatial directions, which effectively corresponds to considering the CFT on a spatial torus with a non-trivial metric. We apply a DC thermal gradient and show that in a hydrodynamic limit the linearised, local thermal currents can be determined by solving linearised, forced Navier–Stokes equations for an incompressible fluid on the torus. We also show how sub-leading corrections to the thermal current can be calculated as well as showing how the full stress tensor response that is generated by the DC source can be obtained. We also compare our results with the fluid-gravity approach.
Donos A, Gauntlett JP, Sosa-Rodriguez O, 2016, Anisotropic plasmas from axion and dilaton deformations, The Journal of High Energy Physics, Vol: 2016, ISSN: 1029-8479
We construct black hole solutions of type IIB supergravity that are holographically dual to anisotropic plasmas arising from deformations of an infinite class of four-dimensional CFTs. The CFTs are dual to AdS5 × X5, where X5 is an Einstein manifold, and the deformations involve the type IIB axion and dilaton, with non-trivial periodic dependence on one of the spatial directions of the CFT. At low temperatures the solutions approach smooth domain wall solutions with the same AdS5 × X5 solution appearing in the far IR. For sufficiently large deformations an intermediate scaling regime appears which is governed by a Lifshitz-like scaling solution. We calculate the DC thermal conductivity and some components of the shear viscosity tensor.
Gauntlett J, 2016, Thomas Kibble (1932-2016) Theoretical physicist and Higgs-boson pioneer. OBITUARY, Nature, Vol: 534, Pages: 622-622, ISSN: 0028-0836
Donos A, Gauntlett JP, 2016, Minimally packed phases in holography, Journal of High Energy Physics, Vol: 2016, ISSN: 1126-6708
We numerically construct asymptotically AdS black brane solutions of $D=4$Einstein-Maxwell theory coupled to a pseudoscalar. The solutions areholographically dual to $d=3$ CFTs at finite chemical potential and in aconstant magnetic field, which spontaneously break translation invarianceleading to the spontaneous formation of abelian and momentum magnetisationcurrents flowing around the plaquettes of a periodic Bravais lattice. Weanalyse the three-dimensional moduli space of lattice solutions, which aregenerically oblique, and show, for a specific value of the magnetic field, thatthe free energy is minimised by the triangular lattice, associated with minimalpacking of circles in the plane. We show that the average stress tensor for thethermodynamically preferred phase is that of a perfect fluid and that thisresult applies more generally to spontaneously generated periodic phases. Thetriangular structure persists at low temperatures indicating the existence ofnovel crystalline ground states.
Donos A, Gauntlett JP, Griffin T, et al., 2016, DC Conductivity of Magnetised Holographic Matter, Journal of High Energy Physics, Vol: 2016, ISSN: 1126-6708
We consider general black hole solutions of Einstein-Maxwell-scalar theorythat are holographically dual to conformal field theories at finite chargedensity with non-vanishing magnetic fields and local magnetisation currents,which generically break translation invariance explicitly. We show that thethermoelectric DC conductivity of the field theory can be obtained by solving asystem of generalised Stokes equations on the black hole horizon. For variousexamples, including Q-lattices and one-dimensional lattices, we solve theStokes equations explicitly and obtain expressions for the DC conductivity interms of the solution at the black hole horizon.
Donos A, Gauntlett JP, 2015, Navier-Stokes equations on black hole horizons and DC thermoelectric conductivity, Physical Review D, Vol: 92, ISSN: 1550-7998
Within the context of the AdS/CFT correspondence, we show that the DC thermoelectric conductivity can be obtained by solving the linearized, time-independent, and forced Navier-Stokes equations on the black hole horizon for an incompressible and charged fluid.
Banks E, Donos A, Gauntlett JP, 2015, Thermoelectric DC conductivities and Stokes flows on black hole horizons, Journal of High Energy Physics, Vol: 2015, ISSN: 1126-6708
We consider a general class of electrically charged black holes of EinsteinMaxwell-scalartheory that are holographically dual to conformal field theories at finitecharge density which break translation invariance explicitly. We examine the linearisedperturbations about the solutions that are associated with the thermoelectric DC conductivity.We show that there is a decoupled sector at the black hole horizon which must solvegeneralised Stokes equations for a charged fluid. By solving these equations we can obtainthe DC conductivity of the dual field theory. For Q-lattices and one-dimensional latticeswe solve the fluid equations to obtain closed form expressions for the DC conductivity interms of the solution at the black hole horizon. We also determine the leading order DCconductivity for lattices that can be expanded as a perturbative series about translationallyinvariant solutions.
Banks E, Gauntlett JP, 2015, A new phase for the anisotropic N=4 super Yang-Mills plasma, JOURNAL OF HIGH ENERGY PHYSICS, Vol: 2015, ISSN: 1029-8479
Black hole solutions of type IIB supergravity have been previously constructedthat describe the N=4 supersymmetric Yang-Mills plasma with an anisotropic spatial deformation.The zero temperature limit of these black holes approach a Lifshitz-like scalingsolution in the infrared. We show that these black holes become unstable at low temperatureand we construct a new class of black hole solutions which are thermodynamicallypreferred. The phase transition is third order and incorporates a spontaneous breaking ofthe SO(6) global symmetry down to SO(4) × SO(2). The critical exponents for the phasetransition are given by (α, β, γ, δ) = (−1, 1, 1, 2) which differ from the standard mean-fieldexponents usually seen in holography. At low temperatures the black holes approach anovel kind of scaling behaviour in the far IR with spatial anisotropy and hyperscaling violation.We show that the new ground states are thermal insulators in the direction of theanisotropy.
Donos A, Gauntlett JP, Pantelidou C, 2015, Conformal field theories in <i>d</i>=4 with a helical twist, PHYSICAL REVIEW D, Vol: 91, ISSN: 1550-7998
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- Citations: 24
Donos A, Gauntlett JP, 2015, The thermoelectric properties of inhomogeneous holographic lattices, Journal of High Energy Physics, Vol: 2015, ISSN: 1126-6708
We consider inhomogeneous, periodic, holographic lattices of D=4Einstein-Maxwell theory. We show that the DC thermoelectric conductivity matrixcan be expressed analytically in terms of the horizon data of the correspondingblack hole solution. We numerically construct such black hole solutions forlattices consisting of one, two and ten wave-numbers. We numerically determinethe AC electric conductivity which reveals Drude physics as well as resonancesassociated with sound modes. No evidence for an intermediate frequency scalingregime is found. All of the monochromatic lattice black holes that we haveconstructed exhibit scaling behaviour at low temperatures which is consistentwith the appearance of $AdS_2\times\mathbb{R}^2$ in the far IR at T=0.
Donos A, Gauntlett JP, 2014, Thermoelectric DC conductivities from black hole horizons, Journal of High Energy Physics, Vol: 2014, ISSN: 1029-8479
An analytic expression for the DC electrical conductivity in terms of black hole horizon data was recently obtained for a class of holographic black holes exhibiting momentum dissipation. We generalise this result to obtain analogous expressions for the DC thermoelectric and thermal conductivities. We illustrate our results using some holographic Q-lattice black holes as well as for some black holes with linear massless axions, in both D = 4 and D = 5 bulk spacetime dimensions, which include both spatially isotropic and anisotropic examples. We show that some recently constructed ground states of holographic Q-lattices, which can be either electrically insulating or metallic, are all thermal insulators.
Donos A, Gauntlett JP, 2014, Flowing from AdS<sub>5</sub> to AdS<sub>3</sub> with <i>T</i><SUP>1, 1</SUP>, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 16
Donos A, Gauntlett JP, 2014, Novel metals and insulators from holography, The Journal of High Energy Physics, Vol: 2014, ISSN: 1029-8479
Using simple holographic models in D = 4 spacetime dimensions we construct black hole solutions dual to d = 3 CFTs at finite charge density with a Q-lattice deformation. At zero temperature we find new ground state solutions, associated with broken translation invariance in either one or both spatial directions, which exhibit insulating or metallic behaviour depending on the parameters of the holographic theory. For low temperatures and small frequencies, the real part of the optical conductivity exhibits a power-law behaviour. We also obtain an expression for the the DC conductivity at finite temperature in terms of horizon data of the black hole solutions.
Donos A, Gauntlett JP, 2014, Holographic Q-lattices, The Journal of High Energy Physics, Vol: 2014, ISSN: 1029-8479
We introduce a new framework for constructing black hole solutions that are holographically dual to strongly coupled field theories with explicitly broken translation invariance. Using a classical gravitational theory with a continuous global symmetry leads to constructions that involve solving ODEs instead of PDEs. We study in detail D = 4 Einstein-Maxwell theory coupled to a complex scalar field with a simple mass term. We construct black holes dual to metallic phases which exhibit a Drude-type peak in the optical conductivity, but there is no evidence of an intermediate scaling that has been reported in other holographic lattice constructions. We also construct black holes dual to insulating phases which exhibit a suppression of spectral weight at low frequencies. We show that the model also admits a novel AdS 3 × R solution.
Donos A, Gauntlett JP, Pantelidou C, 2014, Competing <i>p</i>-wave orders, CLASSICAL AND QUANTUM GRAVITY, Vol: 31, ISSN: 0264-9381
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- Citations: 29
Gauntlett JP, 2014, Symmetry and Fundamental Physics: Tom Kibble at 80, Publisher: World Scientific, ISBN: 978-981-4583-01-5
Donos A, Gauntlett JP, 2013, On the thermodynamics of periodic AdS black branes, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 27
Donos A, Gauntlett JP, 2013, Holographic charge density waves, PHYSICAL REVIEW D, Vol: 87, ISSN: 1550-7998
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- Citations: 65
Donos A, Gauntlett JP, Pantelidou C, 2013, Semi-local quantum criticality in string/M-theory, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 17
Donos A, Gauntlett JP, Sonner J, et al., 2013, Competing orders in M-theory: superfluids, stripes and metamagnetism, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 63
Bhaseen MJ, Gauntlett JP, Simons BD, et al., 2013, Holographic Superfluids and the Dynamics of Symmetry Breaking, PHYSICAL REVIEW LETTERS, Vol: 110, ISSN: 0031-9007
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- Citations: 104
Donos A, Gauntlett JP, 2012, Supersymmetric quantum criticality supported by baryonic charges, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 16
Donos A, Gauntlett JP, 2012, Black holes dual to helical current phases, PHYSICAL REVIEW D, Vol: 86, ISSN: 1550-7998
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- Citations: 63
Pantelidou C, Gauntlett JP, Donos A, 2012, Magnetic and electric AdS solutions in string- and M-theory, Classical and Quantum Gravity, Vol: 29
The stability properties of a family of magnetic $AdS_{3}\times \mathbb{R}^{2}$ solutions of D=5, SO(6) gauged SUGRA are investigated in more detail. We construct an analogous family of magnetic $AdS_{2}\times \mathbb{R}^{2}$ solutions of D=4, SO(8) gauged SUGRA, including a family of supersymmetric solutions, and also investigate their stability. We construct supersymmetric domain walls that interpolate between AdS_5 and an $AdS_3\times\mathbb{R}^2$ solution and also between AdS_4 and an $AdS_2\times\mathbb{R}^2$ solution which provide stable zero temperature ground states for the corresponding dual CFTs. We also construct new families of electric $AdS_{2}\times \mathbb{R}^{3}$ and $AdS_{2}\times \mathbb{R}^{2}$ solutions.
Gauntlett J, 2012, Higgs reaction, NEW SCIENTIST, Vol: 215, Pages: 30-30, ISSN: 0262-4079
Donos A, Gauntlett JP, 2012, Helical Superconducting Black Holes, PHYSICAL REVIEW LETTERS, Vol: 108, ISSN: 0031-9007
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- Citations: 64
Donos A, Gauntlett JP, Pantelidou C, 2012, Spatially modulated instabilities of magnetic black branes, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 58
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